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Modeling group formation and activity patterns in self-organizing collectives of individuals

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dc.contributor.authorEftimie, R.
dc.contributor.authorLewis, Mark A.
dc.contributor.authorLutscher, F.
dc.contributor.authorde Vries, G.
dc.date.accessioned2025-05-01T22:20:50Z
dc.date.available2025-05-01T22:20:50Z
dc.date.issued2007-01-01
dc.descriptionWe construct and analyze a nonlocal continuum model for group formation with application to self-organizing collectives of animals in homogeneous environments. The model consists of a hyperbolic system of conservation laws, describing individual movement as a correlated random walk. The turning rates depend on three types of social forces: attraction toward other organisms, repulsion from them, and a tendency to align with neighbors. Linear analysis is used to study the role of the social interaction forces and their ranges in group formation. We demonstrate that the model can generate a wide range of patterns, including stationary pulses, traveling pulses, traveling trains, and a new type of solution that we call zigzag pulses. Moreover, numerical simulations suggest that all three social forces are required to account for the complex patterns observed in biological systems. We then use the model to study the transitions between daily animal activities that can be described by these different patterns.
dc.identifier.doihttps://doi.org/10.7939/R3S17ST3Q
dc.language.isoen
dc.relation.isversionofEftimie, R., de Vries, G., Lewis, M.A., Lutscher, F. (2007). Modeling group formation and activity patters in self-organizing collectives of individuals. Bulletin of Mathematical Biology: 69: 1537-1565.
dc.rights© 2007 Springer. This version of this article is open access and can be downloaded and shared. The original author(s) and source must be cited.
dc.subjectGroup formation
dc.subjectZigzag movement
dc.subjectNonlocal hyperbolic system
dc.subjectSocial interactions
dc.subjectSpatial patterns
dc.titleModeling group formation and activity patterns in self-organizing collectives of individuals
dc.typehttp://purl.org/coar/resource_type/c_6501 http://purl.org/coar/version/c_970fb48d4fbd8a85
ual.jupiterAccesshttp://terms.library.ualberta.ca/public

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